Projects

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Project description:

Extensions of various types of aggregation functions from partially given information on subsets of the domain and construction of the best possible bounds under given conditions, especially in the case of copulas, quasi-copulas and semi-copulas. Construction of aggregation functions with the required properties in special classes of aggregation functions. A detailed examintion of properties of the Choquet and Sugeno integrals defined with respect to level dependent fuzzy measures. Completion of a partial information on an aggregation process by introduced fuzzy integrals. Definition of utility functions by means of generalized level dependent fuzzy integrals enabling building preference structures and orderings of considered alternatives. The study and constructions of fuzzy nearness relations based on new aggregation techniques. Investigation in the area of MV-algebras.